Diversity of interaction solutions to the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation

被引：14

作者：

Lu, Jianqing ^{[1
]}

Bilige, Sudao ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 26期

基金：

中国国家自然科学基金;

关键词：

Generalized bilinear; lump solution; interaction phenomenon; breather-wave solution; (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation; MULTIPLE WAVE SOLUTIONS; LUMP-KINK SOLUTIONS; RATIONAL SOLUTIONS; BACKLUND TRANSFORMATION; SOLITON-SOLUTIONS; DYNAMICS;

D O I：

10.1142/S0217984918503116

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation has some advantages when it is applied to solve engineering problems. Via using the Hirota method and symbolic computation Mathematica, we get the lump, interaction solution and breather-wave solution under certain constraints. An interesting feature of the resulting interaction solution involves arbitrary function. Illustrative examples of the resulting solution are shown by drawing.

引用

页数：13

共 68 条

[1]

[Anonymous], [No title captured]

[2]

[Anonymous], 2016, INT J MOD PHYS B, DOI DOI 10.1142/S021797921640018X

[3] GRAVITATIONAL-FIELD OF A GLOBAL MONOPOLE [J].

BARRIOLA, M ;

VILENKIN, A .

PHYSICAL REVIEW LETTERS, 1989, 63 (04) :341-343

[4] Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach [J].

Biswas, Anjan ;

Mirzazadeh, M. ;

Eslami, Mostafa ;

Milovic, Daniela ;

Belic, Milivoj .

FREQUENZ, 2014, 68 (11-12) :525-530

[5] Lump-type solutions for the (4+1)-dimensional Fokas equation via symbolic computations [J].

Cheng, Li ;

Zhang, Yi .

MODERN PHYSICS LETTERS B, 2017, 31 (25)

[6] Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion [J].

Ekici, M. ;

Mirzazadeh, M. ;

Eslami, M. .

NONLINEAR DYNAMICS, 2016, 84 (02) :669-676

[7]

Eslami M, 2016, NONLINEAR DYNAM, V85, P813, DOI 10.1007/s11071-016-2724-2

[8] Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities [J].

Eslami, M. ;

Mirzazadeh, M. .

NONLINEAR DYNAMICS, 2016, 83 (1-2) :731-738

[9] First integral method to look for exact solutions of a variety of Boussinesq-like equations [J].

Eslami, M. ;

Mirzazadeh, M. .

OCEAN ENGINEERING, 2014, 83 :133-137

[10] The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative [J].

Eslami, Mostafa ;

Khodadad, Farid Samsami ;

Nazari, Fakhroddin ;

Rezazadeh, Hadi .

OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (12)

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